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The logarithm of the characteristic polynomial of CβE matrices, viewed as a function on the unit circle in the complex plane, is a logarithmically correlated field. Ofer Zeitouni will describe joint work with Elliot Paquette, where we prove that properly centered, the maximum of this field converges to the sum of a Gumbel random variable and an independent random variable Z, thus validating a famous conjecture of Fyodorov–Hiary–Keating. If time permits, Zeitouni will describe recent work identifying the random variable ZUploaded 28-10-25 Learn more about your ad choices. Visit megaphone.fm/adchoices
